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10101101112 = 233415588119
BaseRepresentation
bin10010110100001001…
…01001001000111000
3222001222000002210000
421122010221020320
5131141340213422
64350153353000
7505212641244
oct113204511070
928058002700
1010101101112
114313898853
121b5aa08760
13c4c92820b
146bb75d424
153e1bcdcac
hex25a129238

10101101112 has 40 divisors (see below), whose sum is σ = 28292437800. Its totient is φ = 3367033488.

The previous prime is 10101101069. The next prime is 10101101137. The reversal of 10101101112 is 21110110101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10101101094 and 10101101103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7793412 + ... + 7794707.

It is an arithmetic number, because the mean of its divisors is an integer number (707310945).

Almost surely, 210101101112 is an apocalyptic number.

10101101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101101112 is an abundant number, since it is smaller than the sum of its proper divisors (18191336688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10101101112 is a wasteful number, since it uses less digits than its factorization.

10101101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15588137 (or 15588124 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101101112 its reverse (21110110101), we get a palindrome (31211211213).

The spelling of 10101101112 in words is "ten billion, one hundred one million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 15588119 31176238 46764357 62352476 93528714 124704952 140293071 187057428 280586142 374114856 420879213 561172284 841758426 1122344568 1262637639 1683516852 2525275278 3367033704 5050550556 10101101112